A reliable split-step Fourier method for the propagation equation of ultra-fast pulses in single-mode optical fibers
A reliable split-step Fourier method for the propagation equation of ultra-fast pulses in single-mode optical fibers
The extension to the split-step Fourier method (SSFM) for Schro?dinger-type pulse propagation equations that we propose in this article is designed with the accurate simulation of pulses in the femtosecond regime in single-mode communication fibers in mind. We show that via an appropriate operator splitting scheme, Kerr nonlinearity and the self-steepening and stimulated Raman scattering terms can be combined into a single sub-step consisting of an inhomogeneous quasilinear first-order hyperbolic system for the real-valued quantities intensity and phase. First- and second-order accurate shock-capturing upwind schemes have been developed specifically for this nonlinear sub-step, which enables the accurate and oscillation-free simulation of signals under the influence of Raman scattering and extreme self-steepening with the SSFM. Benchmark computations of ultra-fast Gaussian pulses in fibers with strong nonlinearity demonstrate the superior approximation properties of the proposed approach.
fiber optical communication, raman scattering, self-steepening, shock-capturing upwind scheme, split-step fourier method (SSFM), ultra-fast gaussian pulse
2008-2017
Deiterding, R.
ce02244b-6651-47e3-8325-2c0a0c9c6314
Glowinski, R.
62ba01b0-a2ba-45bd-80c5-2356ea212c24
Oliver, H.
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Poole, S.
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13 May 2013
Deiterding, R.
ce02244b-6651-47e3-8325-2c0a0c9c6314
Glowinski, R.
62ba01b0-a2ba-45bd-80c5-2356ea212c24
Oliver, H.
cc2c7593-3e11-4529-b580-7cf4573f38df
Poole, S.
4e7e9a5a-df95-4f65-a21d-00d7dfcd5019
Deiterding, R., Glowinski, R., Oliver, H. and Poole, S.
(2013)
A reliable split-step Fourier method for the propagation equation of ultra-fast pulses in single-mode optical fibers.
IEEE Journal of Lightwave Technology, 31, .
(doi:10.1109/JLT.2013.2262654).
Abstract
The extension to the split-step Fourier method (SSFM) for Schro?dinger-type pulse propagation equations that we propose in this article is designed with the accurate simulation of pulses in the femtosecond regime in single-mode communication fibers in mind. We show that via an appropriate operator splitting scheme, Kerr nonlinearity and the self-steepening and stimulated Raman scattering terms can be combined into a single sub-step consisting of an inhomogeneous quasilinear first-order hyperbolic system for the real-valued quantities intensity and phase. First- and second-order accurate shock-capturing upwind schemes have been developed specifically for this nonlinear sub-step, which enables the accurate and oscillation-free simulation of signals under the influence of Raman scattering and extreme self-steepening with the SSFM. Benchmark computations of ultra-fast Gaussian pulses in fibers with strong nonlinearity demonstrate the superior approximation properties of the proposed approach.
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More information
Published date: 13 May 2013
Keywords:
fiber optical communication, raman scattering, self-steepening, shock-capturing upwind scheme, split-step fourier method (SSFM), ultra-fast gaussian pulse
Organisations:
Aerodynamics & Flight Mechanics Group
Identifiers
Local EPrints ID: 380648
URI: http://eprints.soton.ac.uk/id/eprint/380648
ISSN: 0733-8724
PURE UUID: d49cd334-24f9-4982-bedc-26284000df04
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Date deposited: 08 Sep 2015 15:59
Last modified: 15 Mar 2024 03:52
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Author:
R. Glowinski
Author:
H. Oliver
Author:
S. Poole
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